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2001321013131 = 321134033593993
BaseRepresentation
bin11101000111111000000…
…001110010111110001011
321002022202111120021022100
4131013320001302332023
5230242201134410011
64131221050524443
7264406412634216
oct35077001627613
97068674507270
102001321013131
117018345a0580
12283a52436723
1311695414894b
146cc160c077d
15370d3e6dd56
hex1d1f8072f8b

2001321013131 has 24 divisors (see below), whose sum is σ = 3153694720176. Its totient is φ = 1212884144640.

The previous prime is 2001321013103. The next prime is 2001321013141. The reversal of 2001321013131 is 1313101231002.

2001321013131 is a `hidden beast` number, since 200 + 1 + 321 + 0 + 13 + 131 = 666.

It is not a de Polignac number, because 2001321013131 - 213 = 2001321004939 is a prime.

It is a super-2 number, since 2×20013210131312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2001321013141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3072271 + ... + 3666263.

It is an arithmetic number, because the mean of its divisors is an integer number (131403946674).

Almost surely, 22001321013131 is an apocalyptic number.

2001321013131 is a deficient number, since it is larger than the sum of its proper divisors (1152373707045).

2001321013131 is a wasteful number, since it uses less digits than its factorization.

2001321013131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628043 (or 628040 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2001321013131 its reverse (1313101231002), we get a palindrome (3314422244133).

The spelling of 2001321013131 in words is "two trillion, one billion, three hundred twenty-one million, thirteen thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 34033 102099 306297 374363 593993 1123089 1781979 3369267 5345937 6533923 19601769 58805307 20215363769 60646091307 181938273921 222369001459 667107004377 2001321013131