101132201303019 has 160 divisors (see below), whose sum is σ = 165821559552000. Its totient is φ = 61178992713216.

The previous prime is 101132201302963. The next prime is 101132201303047. The reversal of 101132201303019 is 910303102231101.

101132201303019 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 220 + 130 + 301 + 9 = 666.

It is not a de Polignac number, because 101132201303019 - 2²¹ = 101132199205867 is a prime.

It is a super-2 number, since 2×101132201303019² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101132201302983 and 101132201303001.

It is not an unprimeable number, because it can be changed into a prime (101132201307019) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10755307572 + ... + 10755316974.

It is an arithmetic number, because the mean of its divisors is an integer number (1036384747200).

Almost surely, 2^{101132201303019} is an apocalyptic number.

101132201303019 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

101132201303019 is a deficient number, since it is larger than the sum of its proper divisors (64689358248981).

101132201303019 is a wasteful number, since it uses less digits than its factorization.

101132201303019 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11359 (or 11350 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 101132201303019 in words is "one hundred one trillion, one hundred thirty-two billion, two hundred one million, three hundred three thousand, nineteen".