100133003210331 has 64 divisors (see below), whose sum is σ = 169468050124800. Its totient is φ = 51174888984576.

The previous prime is 100133003210299. The next prime is 100133003210333. The reversal of 100133003210331 is 133012300331001.

It is not a de Polignac number, because 100133003210331 - 2⁵ = 100133003210299 is a prime.

It is a super-2 number, since 2×100133003210331² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 100133003210298 and 100133003210307.

It is not an unprimeable number, because it can be changed into a prime (100133003210333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18324726 + ... + 23153003.

It is an arithmetic number, because the mean of its divisors is an integer number (2647938283200).

Almost surely, 2^{100133003210331} is an apocalyptic number.

100133003210331 is a deficient number, since it is larger than the sum of its proper divisors (69335046914469).

100133003210331 is a wasteful number, since it uses less digits than its factorization.

100133003210331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41478028.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 100133003210331 its reverse (133012300331001), we get a palindrome (233145303541332).

The spelling of 100133003210331 in words is "one hundred trillion, one hundred thirty-three billion, three million, two hundred ten thousand, three hundred thirty-one".