101320311201312 has 144 divisors (see below), whose sum is σ = 320057387415360. Its totient is φ = 27950430638592.

The previous prime is 101320311201287. The next prime is 101320311201391. The reversal of 101320311201312 is 213102113023101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371228788 + ... + 371501619.

It is an arithmetic number, because the mean of its divisors is an integer number (2222620745940).

Almost surely, 2^{101320311201312} is an apocalyptic number.

101320311201312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101320311201312 is an abundant number, since it is smaller than the sum of its proper divisors (218737076214048).

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

101320311201312 is a wasteful number, since it uses less digits than its factorization.

101320311201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742730463 (or 742730448 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101320311201312 its reverse (213102113023101), we get a palindrome (314422424224413).

The spelling of 101320311201312 in words is "one hundred one trillion, three hundred twenty billion, three hundred eleven million, two hundred one thousand, three hundred twelve".