131122100 has 36 divisors (see below), whose sum is σ = 291483948. Its totient is φ = 51168000.

The previous prime is 131122091. The next prime is 131122109. The reversal of 131122100 is 1221131.

It is an interprime number because it is at equal distance from previous prime (131122091) and next prime (131122109).

It can be written as a sum of positive squares in 6 ways, for example, as 53611684 + 77510416 = 7322^2 + 8804^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131122109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11891 + ... + 20090.

Almost surely, 2^131122100 is an apocalyptic number.

131122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131122100 is an abundant number, since it is smaller than the sum of its proper divisors (160361848).

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

131122100 is a wasteful number, since it uses less digits than its factorization.

131122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32036 (or 32029 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 131122100 is about 11450.8558632095. The cubic root of 131122100 is about 508.0330490826.

Adding to 131122100 its reverse (1221131), we get a palindrome (132343231).

The spelling of 131122100 in words is "one hundred thirty-one million, one hundred twenty-two thousand, one hundred".