31020031201120 has 144 divisors (see below), whose sum is σ = 79771244297472. Its totient is φ = 11393581854720.

The previous prime is 31020031201073. The next prime is 31020031201141. The reversal of 31020031201120 is 2110213002013.

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

It is a junction number, because it is equal to n+sod(n) for n = 31020031201094 and 31020031201103.

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 23 ways as a sum of consecutive naturals, for example, 2161524 + ... + 8167756.

It is an arithmetic number, because the mean of its divisors is an integer number (553966974288).

Almost surely, 2^{31020031201120} 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 31020031201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39885622148736).

31020031201120 is an abundant number, since it is smaller than the sum of its proper divisors (48751213096352).

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

31020031201120 is a wasteful number, since it uses less digits than its factorization.

31020031201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6006465 (or 6006444 counting only the distinct ones).

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

Adding to 31020031201120 its reverse (2110213002013), we get a palindrome (33130244203133).

The spelling of 31020031201120 in words is "thirty-one trillion, twenty billion, thirty-one million, two hundred one thousand, one hundred twenty".