101250013513 has 16 divisors (see below), whose sum is σ = 111007972800. Its totient is φ = 91584809280.

The previous prime is 101250013493. The next prime is 101250013519. The reversal of 101250013513 is 315310052101.

It is a cyclic number.

It is not a de Polignac number, because 101250013513 - 2¹⁷ = 101249882441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101250013519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4192170 + ... + 4216252.

It is an arithmetic number, because the mean of its divisors is an integer number (6937998300).

Almost surely, 2^101250013513 is an apocalyptic number.

It is an amenable number.

101250013513 is a deficient number, since it is larger than the sum of its proper divisors (9757959287).

101250013513 is a wasteful number, since it uses less digits than its factorization.

101250013513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25992.

The product of its (nonzero) digits is 450, while the sum is 22.

Adding to 101250013513 its reverse (315310052101), we get a palindrome (416560065614).

The spelling of 101250013513 in words is "one hundred one billion, two hundred fifty million, thirteen thousand, five hundred thirteen".