1323031302131 has 256 divisors, whose sum is σ = 1888026624000. Its totient is φ = 916083302400.

The previous prime is 1323031302107. The next prime is 1323031302149. The reversal of 1323031302131 is 1312031303231.

It is not a de Polignac number, because 1323031302131 - 2²² = 1323027107827 is a prime.

It is a super-2 number, since 2×1323031302131² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1323031302097 and 1323031302106.

It is not an unprimeable number, because it can be changed into a prime (1323031302101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6855084371 + ... + 6855084563.

It is an arithmetic number, because the mean of its divisors is an integer number (7375104000).

Almost surely, 2^{1323031302131} is an apocalyptic number.

1323031302131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1323031302131 is a deficient number, since it is larger than the sum of its proper divisors (564995321869).

1323031302131 is a wasteful number, since it uses less digits than its factorization.

1323031302131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1323031302131 its reverse (1312031303231), we get a palindrome (2635062605362).

The spelling of 1323031302131 in words is "one trillion, three hundred twenty-three billion, thirty-one million, three hundred two thousand, one hundred thirty-one".