100113331101331 has 8 divisors (see below), whose sum is σ = 101238391069200. Its totient is φ = 98988275379840.

The previous prime is 100113331101307. The next prime is 100113331101361. The reversal of 100113331101331 is 133101133311001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100113331101331 - 2⁹ = 100113331100819 is a prime.

It is a super-2 number, since 2×100113331101331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100113331101361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89925135 + ... + 91031623.

It is an arithmetic number, because the mean of its divisors is an integer number (12654798883650).

Almost surely, 2^{100113331101331} is an apocalyptic number.

100113331101331 is a deficient number, since it is larger than the sum of its proper divisors (1125059967869).

100113331101331 is a wasteful number, since it uses less digits than its factorization.

100113331101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123189.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 100113331101331 its reverse (133101133311001), we get a palindrome (233214464412332).

The spelling of 100113331101331 in words is "one hundred trillion, one hundred thirteen billion, three hundred thirty-one million, one hundred one thousand, three hundred thirty-one".