31321001112100 has 144 divisors (see below), whose sum is σ = 79492695280768. Its totient is φ = 10487548431360.

The previous prime is 31321001112097. The next prime is 31321001112101. The reversal of 31321001112100 is 121110012313.

It is a happy number.

It is a super-2 number, since 2×31321001112100² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31321001112101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250279144 + ... + 250404256.

Almost surely, 2^{31321001112100} 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 31321001112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39746347640384).

31321001112100 is an abundant number, since it is smaller than the sum of its proper divisors (48171694168668).

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

31321001112100 is a wasteful number, since it uses less digits than its factorization.

31321001112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133494 (or 133487 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 31321001112100 its reverse (121110012313), we get a palindrome (31442111124413).

The spelling of 31321001112100 in words is "thirty-one trillion, three hundred twenty-one billion, one million, one hundred twelve thousand, one hundred".