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1330013300133 = 371931372906161
BaseRepresentation
bin10011010110101010111…
…110000110010110100101
311201010222220200001221210
4103112222332012112211
5133242331401101013
62454555532502033
7165042653343210
oct23265276062645
94633886601853
101330013300133
1147306791a871
1219592291a919
139855c16822b
1448531696777
15248e3cc9cc3
hex135aaf865a5

1330013300133 has 64 divisors (see below), whose sum is σ = 2261691514880. Its totient is φ = 677949004800.

The previous prime is 1330013300117. The next prime is 1330013300141. The reversal of 1330013300133 is 3310033100331.

It is not a de Polignac number, because 1330013300133 - 24 = 1330013300117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

1330013300133 is a modest number, since divided by 13300133 gives 133 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330013300173) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 995428 + ... + 1910733.

It is an arithmetic number, because the mean of its divisors is an integer number (35338929920).

Almost surely, 21330013300133 is an apocalyptic number.

It is an amenable number.

1330013300133 is a deficient number, since it is larger than the sum of its proper divisors (931678214747).

1330013300133 is a wasteful number, since it uses less digits than its factorization.

1330013300133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906258.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 1330013300133 its reverse (3310033100331), we get a palindrome (4640046400464).

The spelling of 1330013300133 in words is "one trillion, three hundred thirty billion, thirteen million, three hundred thousand, one hundred thirty-three".

Divisors: 1 3 7 19 21 31 37 57 93 111 133 217 259 399 589 651 703 777 1147 1767 2109 3441 4123 4921 8029 12369 14763 21793 24087 65379 152551 457653 2906161 8718483 20343127 55217059 61029381 90090991 107527957 165651177 270272973 322583871 386519413 630636937 752695699 1159558239 1711728829 1891910811 2043031183 2258087097 3333366667 5135186487 6129093549 10000100001 11982101803 14301218281 23333566669 35946305409 42903654843 63333966673 70000700007 190001900019 443337766711 1330013300133