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13130213013 = 3243116329173
BaseRepresentation
bin11000011101001111…
…10010011010010101
31020220001210221010200
430032213302122111
5203342313304023
610010522011113
7643243653261
oct141647623225
936801727120
1013130213013
115628732415
122665346a99
131313363418
148c7b830a1
1551cac3743
hex30e9f2695

13130213013 has 24 divisors (see below), whose sum is σ = 19424282592. Its totient is φ = 8542261728.

The previous prime is 13130212999. The next prime is 13130213039. The reversal of 13130213013 is 31031203131.

It is a happy number.

It is not a de Polignac number, because 13130213013 - 25 = 13130212981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130213053) 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, 435495 + ... + 464667.

It is an arithmetic number, because the mean of its divisors is an integer number (809345108).

Almost surely, 213130213013 is an apocalyptic number.

It is an amenable number.

13130213013 is a deficient number, since it is larger than the sum of its proper divisors (6294069579).

13130213013 is a wasteful number, since it uses less digits than its factorization.

13130213013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30385 (or 30382 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13130213013 its reverse (31031203131), we get a palindrome (44161416144).

The spelling of 13130213013 in words is "thirteen billion, one hundred thirty million, two hundred thirteen thousand, thirteen".

Divisors: 1 3 9 43 129 387 1163 3489 10467 29173 50009 87519 150027 262557 450081 1254439 3763317 11289951 33928199 101784597 305353791 1458912557 4376737671 13130213013