31311132032100 has 144 divisors (see below), whose sum is σ = 90888159035520. Its totient is φ = 8322520780800.

The previous prime is 31311132032093. The next prime is 31311132032107. The reversal of 31311132032100 is 123023111313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31311132032093) and next prime (31311132032107).

It is not an unprimeable number, because it can be changed into a prime (31311132032107) 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, 128358849 + ... + 128602551.

It is an arithmetic number, because the mean of its divisors is an integer number (631167771080).

Almost surely, 2^{31311132032100} is an apocalyptic number.

31311132032100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31311132032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45444079517760).

31311132032100 is an abundant number, since it is smaller than the sum of its proper divisors (59577027003420).

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

31311132032100 is a wasteful number, since it uses less digits than its factorization.

31311132032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245110 (or 245103 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 31311132032100 its reverse (123023111313), we get a palindrome (31434155143413).

The spelling of 31311132032100 in words is "thirty-one trillion, three hundred eleven billion, one hundred thirty-two million, thirty-two thousand, one hundred".