101310515551301 has 32 divisors (see below), whose sum is σ = 123895247438592. Its totient is φ = 80864068377600.

The previous prime is 101310515551279. The next prime is 101310515551309. The reversal of 101310515551301 is 103155515013101.

It is a de Polignac number, because none of the positive numbers 2^k-101310515551301 is a prime.

It is a super-2 number, since 2×101310515551301² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101310515551309) 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 31 ways as a sum of consecutive naturals, for example, 5156651 + ... + 15139751.

It is an arithmetic number, because the mean of its divisors is an integer number (3871726482456).

Almost surely, 2^{101310515551301} is an apocalyptic number.

It is an amenable number.

101310515551301 is a deficient number, since it is larger than the sum of its proper divisors (22584731887291).

101310515551301 is a wasteful number, since it uses less digits than its factorization.

101310515551301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9984029.

The product of its (nonzero) digits is 5625, while the sum is 32.

The spelling of 101310515551301 in words is "one hundred one trillion, three hundred ten billion, five hundred fifteen million, five hundred fifty-one thousand, three hundred one".