100103003131131 has 96 divisors (see below), whose sum is σ = 194195376281088. Its totient is φ = 47987539845120.

The previous prime is 100103003131081. The next prime is 100103003131139. The reversal of 100103003131131 is 131131300301001.

100103003131131 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 300 + 313 + 11 + 31 = 666.

It is not a de Polignac number, because 100103003131131 - 2¹⁹ = 100103002606843 is a prime.

It is a super-2 number, since 2×100103003131131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100103003131139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29537020 + ... + 32751206.

It is an arithmetic number, because the mean of its divisors is an integer number (2022868502928).

Almost surely, 2^{100103003131131} is an apocalyptic number.

100103003131131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100103003131131 is a deficient number, since it is larger than the sum of its proper divisors (94092373149957).

100103003131131 is a wasteful number, since it uses less digits than its factorization.

100103003131131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217681 (or 3217678 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 100103003131131 its reverse (131131300301001), we get a palindrome (231234303432132).

The spelling of 100103003131131 in words is "one hundred trillion, one hundred three billion, three million, one hundred thirty-one thousand, one hundred thirty-one".