31442341124100 has 108 divisors (see below), whose sum is σ = 92236457540976. Its totient is φ = 8269766012160.

The previous prime is 31442341124083. The next prime is 31442341124101. The reversal of 31442341124100 is 142114324413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (31442341124101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8235022 + ... + 11432421.

Almost surely, 2^{31442341124100} is an apocalyptic number.

31442341124100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31442341124100 is an abundant number, since it is smaller than the sum of its proper divisors (60794116416876).

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

31442341124100 is a wasteful number, since it uses less digits than its factorization.

31442341124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19667606 (or 19667526 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 31442341124100 its reverse (142114324413), we get a palindrome (31584455448513).

The spelling of 31442341124100 in words is "thirty-one trillion, four hundred forty-two billion, three hundred forty-one million, one hundred twenty-four thousand, one hundred".