31330120021002 has 96 divisors (see below), whose sum is σ = 74788180346880. Its totient is φ = 9399763251360.

The previous prime is 31330120020977. The next prime is 31330120021003. The reversal of 31330120021002 is 20012002103313.

31330120021002 is a `hidden beast` number, since 3 + 1 + 330 + 120 + 0 + 210 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31330120021003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 95259363 + ... + 95587689.

It is an arithmetic number, because the mean of its divisors is an integer number (779043545280).

Almost surely, 2^{31330120021002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31330120021002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37394090173440).

31330120021002 is an abundant number, since it is smaller than the sum of its proper divisors (43458060325878).

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

31330120021002 is a wasteful number, since it uses less digits than its factorization.

31330120021002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333128 (or 333125 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31330120021002 its reverse (20012002103313), we get a palindrome (51342122124315).

It can be divided in two parts, 31 and 330120021002, that added together give a palindrome (330120021033).

The spelling of 31330120021002 in words is "thirty-one trillion, three hundred thirty billion, one hundred twenty million, twenty-one thousand, two".