1013132001120 has 96 divisors (see below), whose sum is σ = 3330120874752. Its totient is φ = 258422072832.

The previous prime is 1013132001107. The next prime is 1013132001127. The reversal of 1013132001120 is 211002313101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 1013132001120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013132001127) 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, 45873562 + ... + 45895641.

It is an arithmetic number, because the mean of its divisors is an integer number (34688759112).

Almost surely, 2^{1013132001120} is an apocalyptic number.

1013132001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013132001120 is an abundant number, since it is smaller than the sum of its proper divisors (2316988873632).

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

1013132001120 is a wasteful number, since it uses less digits than its factorization.

1013132001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91769244 (or 91769236 counting only the distinct ones).

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

Adding to 1013132001120 its reverse (211002313101), we get a palindrome (1224134314221).

The spelling of 1013132001120 in words is "one trillion, thirteen billion, one hundred thirty-two million, one thousand, one hundred twenty".