31033020012000 has 96 divisors (see below), whose sum is σ = 101664173598624. Its totient is φ = 8275472000000.

The previous prime is 31033020011989. The next prime is 31033020012023. The reversal of 31033020012000 is 21002033013.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1293030501 + ... + 1293054500.

It is an arithmetic number, because the mean of its divisors is an integer number (1059001808319).

Almost surely, 2^{31033020012000} is an apocalyptic number.

31033020012000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31033020012000 is an abundant number, since it is smaller than the sum of its proper divisors (70631153586624).

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

31033020012000 is a wasteful number, since it uses less digits than its factorization.

31033020012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586085029 (or 2586085011 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 31033020012000 its reverse (21002033013), we get a palindrome (31054022045013).

The spelling of 31033020012000 in words is "thirty-one trillion, thirty-three billion, twenty million, twelve thousand".