1331012203313 has 16 divisors (see below), whose sum is σ = 1538505911376. Its totient is φ = 1140514007040.

The previous prime is 1331012203277. The next prime is 1331012203349. The reversal of 1331012203313 is 3133022101331.

It is an interprime number because it is at equal distance from previous prime (1331012203277) and next prime (1331012203349).

It can be written as a sum of positive squares in 8 ways, for example, as 52161078544 + 1278851124769 = 228388^2 + 1130863^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331012203313 - 2⁶ = 1331012203249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1331012203393) 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, 41235098 + ... + 41267363.

It is an arithmetic number, because the mean of its divisors is an integer number (96156619461).

Almost surely, 2^{1331012203313} is an apocalyptic number.

1331012203313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1331012203313 is a deficient number, since it is larger than the sum of its proper divisors (207493708063).

1331012203313 is a wasteful number, since it uses less digits than its factorization.

1331012203313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82502564.

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

Adding to 1331012203313 its reverse (3133022101331), we get a palindrome (4464034304644).

The spelling of 1331012203313 in words is "one trillion, three hundred thirty-one billion, twelve million, two hundred three thousand, three hundred thirteen".