100131133001130 has 192 divisors, whose sum is σ = 326950126334208. Its totient is φ = 20654596961280.

The previous prime is 100131133001093. The next prime is 100131133001167. The reversal of 100131133001130 is 31100331131001.

100131133001130 is a `hidden beast` number, since 10 + 0 + 1 + 311 + 3 + 300 + 11 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (100131133001093) and next prime (100131133001167).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51783937 + ... + 53682756.

It is an arithmetic number, because the mean of its divisors is an integer number (1702865241324).

Almost surely, 2^{100131133001130} is an apocalyptic number.

100131133001130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100131133001130 is an abundant number, since it is smaller than the sum of its proper divisors (226818993333078).

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

100131133001130 is a wasteful number, since it uses less digits than its factorization.

100131133001130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105466861 (or 105466858 counting only the distinct ones).

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

Adding to 100131133001130 its reverse (31100331131001), we get a palindrome (131231464132131).

The spelling of 100131133001130 in words is "one hundred trillion, one hundred thirty-one billion, one hundred thirty-three million, one thousand, one hundred thirty".