101311221320 has 32 divisors (see below), whose sum is σ = 228945684600. Its totient is φ = 40347522048.

The previous prime is 101311221313. The next prime is 101311221409. The reversal of 101311221320 is 23122113101.

It can be written as a sum of positive squares in 4 ways, for example, as 85122730564 + 16188490756 = 291758^2 + 127234^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5520929 + ... + 5539248.

Almost surely, 2^101311221320 is an apocalyptic number.

101311221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101311221320 is an abundant number, since it is smaller than the sum of its proper divisors (127634463280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101311221320 is a wasteful number, since it uses less digits than its factorization.

101311221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11060417 (or 11060413 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101311221320 its reverse (23122113101), we get a palindrome (124433334421).

The spelling of 101311221320 in words is "one hundred one billion, three hundred eleven million, two hundred twenty-one thousand, three hundred twenty".