101135263113 has 24 divisors (see below), whose sum is σ = 150695253696. Its totient is φ = 65328357600.

The previous prime is 101135263069. The next prime is 101135263223. The reversal of 101135263113 is 311362531101.

It is a happy number.

101135263113 is a `hidden beast` number, since 1 + 0 + 1 + 13 + 5 + 2 + 631 + 13 = 666.

It is not a de Polignac number, because 101135263113 - 2⁸ = 101135262857 is a prime.

It is a super-3 number, since 3×101135263113³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101135263013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1337973 + ... + 1411538.

It is an arithmetic number, because the mean of its divisors is an integer number (6278968904).

Almost surely, 2^101135263113 is an apocalyptic number.

It is an amenable number.

101135263113 is a deficient number, since it is larger than the sum of its proper divisors (49559990583).

101135263113 is a wasteful number, since it uses less digits than its factorization.

101135263113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749645 (or 2749642 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 101135263113 its reverse (311362531101), we get a palindrome (412497794214).

The spelling of 101135263113 in words is "one hundred one billion, one hundred thirty-five million, two hundred sixty-three thousand, one hundred thirteen".