13130312031000 has 256 divisors, whose sum is σ = 45537660604800. Its totient is φ = 3499936128000.

The previous prime is 13130312030987. The next prime is 13130312031041. The reversal of 13130312031000 is 13021303131.

It is a happy number.

13130312031000 is a `hidden beast` number, since 1 + 31 + 303 + 1 + 20 + 310 + 0 + 0 = 666.

13130312031000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13130312031000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64509390 + ... + 64712610.

Almost surely, 2^{13130312031000} is an apocalyptic number.

13130312031000 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 13130312031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22768830302400).

13130312031000 is an abundant number, since it is smaller than the sum of its proper divisors (32407348573800).

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

13130312031000 is a wasteful number, since it uses less digits than its factorization.

13130312031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205644 (or 205624 counting only the distinct ones).

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

Adding to 13130312031000 its reverse (13021303131), we get a palindrome (13143333334131).

The spelling of 13130312031000 in words is "thirteen trillion, one hundred thirty billion, three hundred twelve million, thirty-one thousand".