1313402012032 has 128 divisors (see below), whose sum is σ = 2909717769600. Its totient is φ = 585525104640.

The previous prime is 1313402012003. The next prime is 1313402012063. The reversal of 1313402012032 is 2302102043131.

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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 1313402011994 and 1313402012012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18362643 + ... + 18434029.

It is an arithmetic number, because the mean of its divisors is an integer number (22732170075).

Almost surely, 2^{1313402012032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313402012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454858884800).

1313402012032 is an abundant number, since it is smaller than the sum of its proper divisors (1596315757568).

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

1313402012032 is a wasteful number, since it uses less digits than its factorization.

1313402012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71664 (or 71652 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1313402012032 its reverse (2302102043131), we get a palindrome (3615504055163).

The spelling of 1313402012032 in words is "one trillion, three hundred thirteen billion, four hundred two million, twelve thousand, thirty-two".