1310221131032 has 128 divisors (see below), whose sum is σ = 2787160320000. Its totient is φ = 572220979200.

The previous prime is 1310221131001. The next prime is 1310221131049. The reversal of 1310221131032 is 2301311220131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1310221130995 and 1310221131013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116572469 + ... + 116583707.

It is an arithmetic number, because the mean of its divisors is an integer number (21774690000).

Almost surely, 2^{1310221131032} 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 1310221131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393580160000).

1310221131032 is an abundant number, since it is smaller than the sum of its proper divisors (1476939188968).

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

1310221131032 is a wasteful number, since it uses less digits than its factorization.

1310221131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11785 (or 11781 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1310221131032 its reverse (2301311220131), we get a palindrome (3611532351163).

The spelling of 1310221131032 in words is "one trillion, three hundred ten billion, two hundred twenty-one million, one hundred thirty-one thousand, thirty-two".