31020988320000 has 540 divisors, whose sum is σ = 127732235350720. Its totient is φ = 7090509312000.

The previous prime is 31020988319999. The next prime is 31020988320017. The reversal of 31020988320000 is 2388902013.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8541261 + ... + 11618739.

Almost surely, 2^{31020988320000} is an apocalyptic number.

31020988320000 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 31020988320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63866117675360).

31020988320000 is an abundant number, since it is smaller than the sum of its proper divisors (96711247030720).

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

31020988320000 is an equidigital number, since it uses as much as digits as its factorization.

31020988320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077528 (or 3077496 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 31020988320000 in words is "thirty-one trillion, twenty billion, nine hundred eighty-eight million, three hundred twenty thousand".