1353320031331 has 16 divisors (see below), whose sum is σ = 1403807230368. Its totient is φ = 1303567776000.

The previous prime is 1353320031307. The next prime is 1353320031347. The reversal of 1353320031331 is 1331300233531.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1353320031331 - 2²⁹ = 1352783160419 is a prime.

It is a super-2 number, since 2×1353320031331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1353320031331.

It is not an unprimeable number, because it can be changed into a prime (1353320031131) 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, 60053536 + ... + 60076066.

It is an arithmetic number, because the mean of its divisors is an integer number (87737951898).

Almost surely, 2^{1353320031331} is an apocalyptic number.

1353320031331 is a deficient number, since it is larger than the sum of its proper divisors (50487199037).

1353320031331 is a wasteful number, since it uses less digits than its factorization.

1353320031331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38742.

The product of its (nonzero) digits is 7290, while the sum is 28.

Adding to 1353320031331 its reverse (1331300233531), we get a palindrome (2684620264862).

The spelling of 1353320031331 in words is "one trillion, three hundred fifty-three billion, three hundred twenty million, thirty-one thousand, three hundred thirty-one".