13130312310000 has 300 divisors, whose sum is σ = 47502008147880. Its totient is φ = 3380677440000.

The previous prime is 13130312309909. The next prime is 13130312310007. The reversal of 13130312310000 is 1321303131.

It is a happy number.

13130312310000 is a `hidden beast` number, since 13 + 1 + 30 + 312 + 310 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×13130312310000² (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 not an unprimeable number, because it can be changed into a prime (13130312310007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 94615 + ... + 5125385.

Almost surely, 2^{13130312310000} is an apocalyptic number.

13130312310000 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 13130312310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23751004073940).

13130312310000 is an abundant number, since it is smaller than the sum of its proper divisors (34371695837880).

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

13130312310000 is a wasteful number, since it uses less digits than its factorization.

13130312310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5030834 (or 5030810 counting only the distinct ones).

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

Adding to 13130312310000 its reverse (1321303131), we get a palindrome (13131633613131).

The spelling of 13130312310000 in words is "thirteen trillion, one hundred thirty billion, three hundred twelve million, three hundred ten thousand".