31311332100000 has 432 divisors, whose sum is σ = 111697553383416. Its totient is φ = 8319479040000.

The previous prime is 31311332099963. The next prime is 31311332100017. The reversal of 31311332100000 is 123311313.

It is a happy number.

31311332100000 is a `hidden beast` number, since 31 + 311 + 3 + 321 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 20312796608784 + 10998535491216 = 4506972^2 + 3316404^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 249237202 + ... + 249362798.

Almost surely, 2^{31311332100000} is an apocalyptic number.

31311332100000 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 31311332100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55848776691708).

31311332100000 is an abundant number, since it is smaller than the sum of its proper divisors (80386221283416).

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

31311332100000 is a wasteful number, since it uses less digits than its factorization.

31311332100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125915 (or 125884 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31311332100000 its reverse (123311313), we get a palindrome (31311455411313).

The spelling of 31311332100000 in words is "thirty-one trillion, three hundred eleven billion, three hundred thirty-two million, one hundred thousand".