31323112032100 has 288 divisors, whose sum is σ = 79356020889600. Its totient is φ = 10510789632000.

The previous prime is 31323112032073. The next prime is 31323112032151. The reversal of 31323112032100 is 123021132313.

It is a super-2 number, since 2×31323112032100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3107754861 + ... + 3107764939.

It is an arithmetic number, because the mean of its divisors is an integer number (275541739200).

Almost surely, 2^{31323112032100} 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 31323112032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39678010444800).

31323112032100 is an abundant number, since it is smaller than the sum of its proper divisors (48032908857500).

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

31323112032100 is a wasteful number, since it uses less digits than its factorization.

31323112032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10703 (or 10696 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 31323112032100 its reverse (123021132313), we get a palindrome (31446133164413).

The spelling of 31323112032100 in words is "thirty-one trillion, three hundred twenty-three billion, one hundred twelve million, thirty-two thousand, one hundred".