131222113100100 has 216 divisors, whose sum is σ = 460827129217728. Its totient is φ = 30951653126400.

The previous prime is 131222113100093. The next prime is 131222113100147. The reversal of 131222113100100 is 1001311222131.

131222113100100 is a `hidden beast` number, since 1 + 31 + 2 + 221 + 1 + 310 + 0 + 100 = 666.

131222113100100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 178752064 + ... + 179484663.

Almost surely, 2^{131222113100100} is an apocalyptic number.

131222113100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131222113100100 is an abundant number, since it is smaller than the sum of its proper divisors (329605016117628).

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

131222113100100 is a wasteful number, since it uses less digits than its factorization.

131222113100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358236795 (or 358236785 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131222113100100 its reverse (1001311222131), we get a palindrome (132223424322231).

The spelling of 131222113100100 in words is "one hundred thirty-one trillion, two hundred twenty-two billion, one hundred thirteen million, one hundred thousand, one hundred".