31225023100 has 72 divisors (see below), whose sum is σ = 70756908768. Its totient is φ = 11938080000.

The previous prime is 31225023083. The next prime is 31225023101. The reversal of 31225023100 is 132052213.

It is a super-3 number, since 3×31225023100³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31225023101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3668850 + ... + 3677350.

It is an arithmetic number, because the mean of its divisors is an integer number (982734844).

Almost surely, 2^31225023100 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 31225023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35378454384).

31225023100 is an abundant number, since it is smaller than the sum of its proper divisors (39531885668).

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

31225023100 is a wasteful number, since it uses less digits than its factorization.

31225023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10135 (or 10128 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 31225023100 its reverse (132052213), we get a palindrome (31357075313).

The spelling of 31225023100 in words is "thirty-one billion, two hundred twenty-five million, twenty-three thousand, one hundred".