123311101030101 has 48 divisors (see below), whose sum is σ = 185168679696000. Its totient is φ = 79010999178624.

The previous prime is 123311101030087. The next prime is 123311101030111. The reversal of 123311101030101 is 101030101113321.

123311101030101 is a `hidden beast` number, since 12 + 331 + 1 + 10 + 10 + 301 + 0 + 1 = 666.

It is not a de Polignac number, because 123311101030101 - 2⁶ = 123311101030037 is a prime.

It is a super-4 number, since 4×123311101030101⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123311101030111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7477080 + ... + 17393358.

It is an arithmetic number, because the mean of its divisors is an integer number (3857680827000).

Almost surely, 2^{123311101030101} is an apocalyptic number.

It is an amenable number.

123311101030101 is a deficient number, since it is larger than the sum of its proper divisors (61857578665899).

123311101030101 is a wasteful number, since it uses less digits than its factorization.

123311101030101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9916778 (or 9916775 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 123311101030101 its reverse (101030101113321), we get a palindrome (224341202143422).

The spelling of 123311101030101 in words is "one hundred twenty-three trillion, three hundred eleven billion, one hundred one million, thirty thousand, one hundred one".