31013303130000 has 600 divisors, whose sum is σ = 109545792525312. Its totient is φ = 8187443712000.

The previous prime is 31013303129933. The next prime is 31013303130013. The reversal of 31013303130000 is 3130331013.

31013303130000 is a `hidden beast` number, since 3 + 1 + 0 + 1 + 330 + 31 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14471908929 + ... + 14471911071.

Almost surely, 2^{31013303130000} is an apocalyptic number.

31013303130000 is a gapful number since it is divisible by the number (30) 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 31013303130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54772896262656).

31013303130000 is an abundant number, since it is smaller than the sum of its proper divisors (78532489395312).

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

31013303130000 is a wasteful number, since it uses less digits than its factorization.

31013303130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 31013303130000 its reverse (3130331013), we get a palindrome (31016433461013).

The spelling of 31013303130000 in words is "thirty-one trillion, thirteen billion, three hundred three million, one hundred thirty thousand".