1310131333120 has 96 divisors (see below), whose sum is σ = 3144813071400. Its totient is φ = 523841568768.

The previous prime is 1310131333103. The next prime is 1310131333157. The reversal of 1310131333120 is 213331310131.

It can be written as a sum of positive squares in 4 ways, for example, as 1296391742464 + 13739590656 = 1138592^2 + 117216^2 .

It is a super-2 number, since 2×1310131333120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1310131333091 and 1310131333100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26773636 + ... + 26822524.

Almost surely, 2^{1310131333120} is an apocalyptic number.

1310131333120 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 1310131333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572406535700).

1310131333120 is an abundant number, since it is smaller than the sum of its proper divisors (1834681738280).

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

1310131333120 is an equidigital number, since it uses as much as digits as its factorization.

1310131333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51533 (or 51513 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1310131333120 its reverse (213331310131), we get a palindrome (1523462643251).

The spelling of 1310131333120 in words is "one trillion, three hundred ten billion, one hundred thirty-one million, three hundred thirty-three thousand, one hundred twenty".