31120690900 has 162 divisors, whose sum is σ = 77192703882. Its totient is φ = 10883808000.

The previous prime is 31120690829. The next prime is 31120690903. The reversal of 31120690900 is 909602113.

It can be written as a sum of positive squares in 9 ways, for example, as 29020485316 + 2100205584 = 170354^2 + 45828^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31120690903) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 6098350 + ... + 6103450.

Almost surely, 2^31120690900 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 31120690900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38596351941).

31120690900 is an abundant number, since it is smaller than the sum of its proper divisors (46072012982).

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

31120690900 is a wasteful number, since it uses less digits than its factorization.

31120690900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5179 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The spelling of 31120690900 in words is "thirty-one billion, one hundred twenty million, six hundred ninety thousand, nine hundred".