101311144001 has 4 divisors (see below), whose sum is σ = 101313086400. Its totient is φ = 101309201604.

The previous prime is 101311143979. The next prime is 101311144087. The reversal of 101311144001 is 100441113101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101311144001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101311144601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 890741 + ... + 998018.

It is an arithmetic number, because the mean of its divisors is an integer number (25328271600).

Almost surely, 2^101311144001 is an apocalyptic number.

It is an amenable number.

101311144001 is a deficient number, since it is larger than the sum of its proper divisors (1942399).

101311144001 is an equidigital number, since it uses as much as digits as its factorization.

101311144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942398.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101311144001 its reverse (100441113101), we get a palindrome (201752257102).

The spelling of 101311144001 in words is "one hundred one billion, three hundred eleven million, one hundred forty-four thousand, one".