31031023020000 has 960 divisors, whose sum is σ = 106033614382080. Its totient is φ = 7937740800000.

The previous prime is 31031023019993. The next prime is 31031023020017. The reversal of 31031023020000 is 2032013013.

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 (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 59332739739 + ... + 59332740261.

It is an arithmetic number, because the mean of its divisors is an integer number (110451681648).

Almost surely, 2^{31031023020000} is an apocalyptic number.

31031023020000 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 31031023020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53016807191040).

31031023020000 is an abundant number, since it is smaller than the sum of its proper divisors (75002591362080).

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

31031023020000 is a wasteful number, since it uses less digits than its factorization.

31031023020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 934 counting only the distinct ones).

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

Adding to 31031023020000 its reverse (2032013013), we get a palindrome (31033055033013).

The spelling of 31031023020000 in words is "thirty-one trillion, thirty-one billion, twenty-three million, twenty thousand".