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13033133011 = 1719231754359
BaseRepresentation
bin11000010001101010…
…11101001111010011
31020122022010202102001
430020311131033103
5203142440224021
65553133134431
7640654542223
oct141065351723
936568122361
1013033133011
115588955808
12263892a417
1312c9202a32
148b8d12083
155142e9091
hex308d5d3d3

13033133011 has 16 divisors (see below), whose sum is σ = 15157670400. Its totient is φ = 11115612288.

The previous prime is 13033132961. The next prime is 13033133027. The reversal of 13033133011 is 11033133031.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13033133011 is a prime.

It is a super-2 number, since 2×130331330112 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13033133011.

It is not an unprimeable number, because it can be changed into a prime (13033133051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 869751 + ... + 884608.

It is an arithmetic number, because the mean of its divisors is an integer number (947354400).

Almost surely, 213033133011 is an apocalyptic number.

13033133011 is a deficient number, since it is larger than the sum of its proper divisors (2124537389).

13033133011 is a wasteful number, since it uses less digits than its factorization.

13033133011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754418.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 13033133011 its reverse (11033133031), we get a palindrome (24066266042).

The spelling of 13033133011 in words is "thirteen billion, thirty-three million, one hundred thirty-three thousand, eleven".

Divisors: 1 17 19 23 323 391 437 7429 1754359 29824103 33332821 40350257 566657957 685954369 766654883 13033133011