100113331101332 has 6 divisors (see below), whose sum is σ = 175198329427338. Its totient is φ = 50056665550664.

The previous prime is 100113331101307. The next prime is 100113331101361. The reversal of 100113331101332 is 233101133311001.

100113331101332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 52549218839056 + 47564112262276 = 7249084^2 + 6896674^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100113331101298 and 100113331101307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12514166387663 + ... + 12514166387670.

It is an arithmetic number, because the mean of its divisors is an integer number (29199721571223).

Almost surely, 2^{100113331101332} is an apocalyptic number.

It is an amenable number.

100113331101332 is a deficient number, since it is larger than the sum of its proper divisors (75084998326006).

100113331101332 is a wasteful number, since it uses less digits than its factorization.

100113331101332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25028332775337 (or 25028332775335 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 100113331101332 its reverse (233101133311001), we get a palindrome (333214464412333).

The spelling of 100113331101332 in words is "one hundred trillion, one hundred thirteen billion, three hundred thirty-one million, one hundred one thousand, three hundred thirty-two".