101332113113201 has 16 divisors (see below), whose sum is σ = 102884600543424. Its totient is φ = 99784082352384.

The previous prime is 101332113113183. The next prime is 101332113113219. The reversal of 101332113113201 is 102311311233101.

It is an interprime number because it is at equal distance from previous prime (101332113113183) and next prime (101332113113219).

It is a cyclic number.

It is not a de Polignac number, because 101332113113201 - 2⁴² = 96934066602097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101332113113291) 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, 1621100990 + ... + 1621163496.

It is an arithmetic number, because the mean of its divisors is an integer number (6430287533964).

Almost surely, 2^{101332113113201} is an apocalyptic number.

It is an amenable number.

101332113113201 is a deficient number, since it is larger than the sum of its proper divisors (1552487430223).

101332113113201 is an equidigital number, since it uses as much as digits as its factorization.

101332113113201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97760.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 101332113113201 its reverse (102311311233101), we get a palindrome (203643424346302).

The spelling of 101332113113201 in words is "one hundred one trillion, three hundred thirty-two billion, one hundred thirteen million, one hundred thirteen thousand, two hundred one".