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13130130000 = 2435413131257
BaseRepresentation
bin11000011101001110…
…11110001001010000
31020220001122201021010
430032213132021100
5203342303130000
610010520130520
7643243156251
oct141647361120
936801581233
1013130130000
115628686009
122665306a40
1313133346c0
148c7b60b28
1551caa8d50
hex30e9de250

13130130000 has 400 divisors, whose sum is σ = 46173669696. Its totient is φ = 3194880000.

The previous prime is 13130129981. The next prime is 13130130017. The reversal of 13130130000 is 3103131.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51089872 + ... + 51090128.

Almost surely, 213130130000 is an apocalyptic number.

13130130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23086834848).

13130130000 is an abundant number, since it is smaller than the sum of its proper divisors (33043539696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13130130000 is a wasteful number, since it uses less digits than its factorization.

13130130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13130130000 its reverse (3103131), we get a palindrome (13133233131).

The spelling of 13130130000 in words is "thirteen billion, one hundred thirty million, one hundred thirty thousand".