101132420313 has 16 divisors (see below), whose sum is σ = 135930574080. Its totient is φ = 66878687616.

The previous prime is 101132420237. The next prime is 101132420329. The reversal of 101132420313 is 313024231101.

It is not a de Polignac number, because 101132420313 - 2²⁶ = 101065311449 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101132420313.

It is not an unprimeable number, because it can be changed into a prime (101132420713) 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, 452683 + ... + 638111.

It is an arithmetic number, because the mean of its divisors is an integer number (8495660880).

Almost surely, 2^101132420313 is an apocalyptic number.

It is an amenable number.

101132420313 is a deficient number, since it is larger than the sum of its proper divisors (34798153767).

101132420313 is a wasteful number, since it uses less digits than its factorization.

101132420313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186896.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101132420313 its reverse (313024231101), we get a palindrome (414156651414).

The spelling of 101132420313 in words is "one hundred one billion, one hundred thirty-two million, four hundred twenty thousand, three hundred thirteen".