131120342142100 has 36 divisors (see below), whose sum is σ = 284534475245244. Its totient is φ = 52447522516480.

The previous prime is 131120342142073. The next prime is 131120342142133. The reversal of 131120342142100 is 1241243021131.

It can be written as a sum of positive squares in 6 ways, for example, as 19570961992464 + 111549380149636 = 4423908^2 + 10561694^2 .

It is a super-2 number, since 2×131120342142100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 948972 + ... + 16221628.

It is an arithmetic number, because the mean of its divisors is an integer number (7903735423479).

Almost surely, 2^{131120342142100} is an apocalyptic number.

131120342142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131120342142100 is an abundant number, since it is smaller than the sum of its proper divisors (153414133103144).

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

131120342142100 is a wasteful number, since it uses less digits than its factorization.

131120342142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15358524 (or 15358517 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 131120342142100 its reverse (1241243021131), we get a palindrome (132361585163231).

The spelling of 131120342142100 in words is "one hundred thirty-one trillion, one hundred twenty billion, three hundred forty-two million, one hundred forty-two thousand, one hundred".