31330125200000 has 384 divisors, whose sum is σ = 87852332090880. Its totient is φ = 11025216000000.

The previous prime is 31330125199993. The next prime is 31330125200173. The reversal of 31330125200000 is 252103313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136285154 + ... + 136514846.

It is an arithmetic number, because the mean of its divisors is an integer number (228782114820).

Almost surely, 2^{31330125200000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31330125200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43926166045440).

31330125200000 is an abundant number, since it is smaller than the sum of its proper divisors (56522206890880).

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

31330125200000 is an equidigital number, since it uses as much as digits as its factorization.

31330125200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229774 (or 229742 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 31330125200000 its reverse (252103313), we get a palindrome (31330377303313).

The spelling of 31330125200000 in words is "thirty-one trillion, three hundred thirty billion, one hundred twenty-five million, two hundred thousand".