31133113210100 has 144 divisors (see below), whose sum is σ = 73865772288000. Its totient is φ = 11295780720000.

The previous prime is 31133113210099. The next prime is 31133113210163. The reversal of 31133113210100 is 101231133113.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1051815101 + ... + 1051844699.

It is an arithmetic number, because the mean of its divisors is an integer number (512956752000).

Almost surely, 2^{31133113210100} 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 31133113210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36932886144000).

31133113210100 is an abundant number, since it is smaller than the sum of its proper divisors (42732659077900).

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

31133113210100 is a wasteful number, since it uses less digits than its factorization.

31133113210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31734 (or 31727 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 31133113210100 its reverse (101231133113), we get a palindrome (31234344343213).

The spelling of 31133113210100 in words is "thirty-one trillion, one hundred thirty-three billion, one hundred thirteen million, two hundred ten thousand, one hundred".