1311132410432 has 112 divisors (see below), whose sum is σ = 2819366392752. Its totient is φ = 601373859840.

The previous prime is 1311132410363. The next prime is 1311132410437. The reversal of 1311132410432 is 2340142311131.

It can be written as a sum of positive squares in 8 ways, for example, as 903138512896 + 407993897536 = 950336^2 + 638744^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1311132410437) 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, 345305558 + ... + 345309354.

It is an arithmetic number, because the mean of its divisors is an integer number (25172914221).

Almost surely, 2^{1311132410432} 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 1311132410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409683196376).

1311132410432 is an abundant number, since it is smaller than the sum of its proper divisors (1508233982320).

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

1311132410432 is a wasteful number, since it uses less digits than its factorization.

1311132410432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6296 (or 6286 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 1311132410432 its reverse (2340142311131), we get a palindrome (3651274721563).

The spelling of 1311132410432 in words is "one trillion, three hundred eleven billion, one hundred thirty-two million, four hundred ten thousand, four hundred thirty-two".