101112513 has 16 divisors (see below), whose sum is σ = 136515456. Its totient is φ = 66563840.

The previous prime is 101112461. The next prime is 101112521. The reversal of 101112513 is 315211101.

It is a cyclic number.

It is not a de Polignac number, because 101112513 - 2⁸ = 101112257 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101112492 and 101112501.

It is not an unprimeable number, because it can be changed into a prime (101112523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155956 + ... + 156602.

It is an arithmetic number, because the mean of its divisors is an integer number (8532216).

Almost surely, 2^101112513 is an apocalyptic number.

It is an amenable number.

101112513 is a deficient number, since it is larger than the sum of its proper divisors (35402943).

101112513 is a wasteful number, since it uses less digits than its factorization.

101112513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224.

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 101112513 is about 10055.4717940035. The cubic root of 101112513 is about 465.8738153559.

Adding to 101112513 its reverse (315211101), we get a palindrome (416323614).

The spelling of 101112513 in words is "one hundred one million, one hundred twelve thousand, five hundred thirteen".