31013212012000 has 96 divisors (see below), whose sum is σ = 76274250605280. Its totient is φ = 12393109196800.

The previous prime is 31013212011989. The next prime is 31013212012009. The reversal of 31013212012000 is 21021231013.

It is a super-2 number, since 2×31013212012000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31013212012009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271632 + ... + 7880368.

It is an arithmetic number, because the mean of its divisors is an integer number (794523443805).

Almost surely, 2^{31013212012000} 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 31013212012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38137125302640).

31013212012000 is an abundant number, since it is smaller than the sum of its proper divisors (45261038593280).

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

31013212012000 is a wasteful number, since it uses less digits than its factorization.

31013212012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7609781 (or 7609763 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31013212012000 its reverse (21021231013), we get a palindrome (31034233243013).

The spelling of 31013212012000 in words is "thirty-one trillion, thirteen billion, two hundred twelve million, twelve thousand".