1312532153040 has 160 divisors (see below), whose sum is σ = 4118736384000. Its totient is φ = 345742594560.

The previous prime is 1312532153021. The next prime is 1312532153047. The reversal of 1312532153040 is 403512352131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1312532152989 and 1312532153007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312532153047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6539785 + ... + 6737495.

It is an arithmetic number, because the mean of its divisors is an integer number (25742102400).

Almost surely, 2^{1312532153040} is an apocalyptic number.

1312532153040 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 1312532153040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059368192000).

1312532153040 is an abundant number, since it is smaller than the sum of its proper divisors (2806204230960).

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

1312532153040 is a wasteful number, since it uses less digits than its factorization.

1312532153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198065 (or 198059 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 1312532153040 in words is "one trillion, three hundred twelve billion, five hundred thirty-two million, one hundred fifty-three thousand, forty".