101260351233 has 80 divisors (see below), whose sum is σ = 165564241920. Its totient is φ = 61399296000.

The previous prime is 101260351223. The next prime is 101260351243. The reversal of 101260351233 is 332153062101.

101260351233 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 603 + 51 + 2 + 3 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (101260351223) and next prime (101260351243).

It is not a de Polignac number, because 101260351233 - 2⁴ = 101260351217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101260351197 and 101260351206.

It is not an unprimeable number, because it can be changed into a prime (101260351223) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43070008 + ... + 43072358.

It is an arithmetic number, because the mean of its divisors is an integer number (2069553024).

Almost surely, 2^101260351233 is an apocalyptic number.

It is an amenable number.

101260351233 is a deficient number, since it is larger than the sum of its proper divisors (64303890687).

101260351233 is a wasteful number, since it uses less digits than its factorization.

101260351233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 101260351233 in words is "one hundred one billion, two hundred sixty million, three hundred fifty-one thousand, two hundred thirty-three".