101320455201131 has 16 divisors (see below), whose sum is σ = 106540390919040. Its totient is φ = 96215831268480.

The previous prime is 101320455201041. The next prime is 101320455201193. The reversal of 101320455201131 is 131102554023101.

It is a happy number.

It is not a de Polignac number, because 101320455201131 - 2⁴² = 96922408690027 is a prime.

It is a super-3 number, since 3×101320455201131³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101320455201094 and 101320455201103.

It is not an unprimeable number, because it can be changed into a prime (101320455221131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21946910 + ... + 26159276.

It is an arithmetic number, because the mean of its divisors is an integer number (6658774432440).

Almost surely, 2^{101320455201131} is an apocalyptic number.

101320455201131 is a deficient number, since it is larger than the sum of its proper divisors (5219935717909).

101320455201131 is a wasteful number, since it uses less digits than its factorization.

101320455201131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226054.

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 101320455201131 in words is "one hundred one trillion, three hundred twenty billion, four hundred fifty-five million, two hundred one thousand, one hundred thirty-one".