31142040211100 has 144 divisors (see below), whose sum is σ = 88065744556608. Its totient is φ = 9276181032960.

The previous prime is 31142040211097. The next prime is 31142040211141. The reversal of 31142040211100 is 111204024113.

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, 100498307 + ... + 100807706.

It is an arithmetic number, because the mean of its divisors is an integer number (611567670532).

Almost surely, 2^{31142040211100} is an apocalyptic number.

It is an amenable number.

31142040211100 is an abundant number, since it is smaller than the sum of its proper divisors (56923704345508).

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

31142040211100 is a wasteful number, since it uses less digits than its factorization.

31142040211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201306064 (or 201306057 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 31142040211100 its reverse (111204024113), we get a palindrome (31253244235213).

The spelling of 31142040211100 in words is "thirty-one trillion, one hundred forty-two billion, forty million, two hundred eleven thousand, one hundred".