1231001013120 has 128 divisors (see below), whose sum is σ = 3928420974240. Its totient is φ = 327881662464.

The previous prime is 1231001013059. The next prime is 1231001013127. The reversal of 1231001013120 is 213101001321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1231001013120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231001013127) 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, 1261942 + ... + 2013578.

Almost surely, 2^{1231001013120} is an apocalyptic number.

1231001013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1231001013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964210487120).

1231001013120 is an abundant number, since it is smaller than the sum of its proper divisors (2697419961120).

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

1231001013120 is an equidigital number, since it uses as much as digits as its factorization.

1231001013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752512 (or 752500 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1231001013120 its reverse (213101001321), we get a palindrome (1444102014441).

It can be divided in two parts, 12310010 and 13120, that added together give a triangular number (12323130 = T₄₉₆₄).

The spelling of 1231001013120 in words is "one trillion, two hundred thirty-one billion, one million, thirteen thousand, one hundred twenty".