1000313331377 has 2 divisors, whose sum is σ = 1000313331378. Its totient is φ = 1000313331376.

The previous prime is 1000313331233. The next prime is 1000313331419. The reversal of 1000313331377 is 7731333130001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 977717529616 + 22595801761 = 988796^2 + 150319^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000313331377 - 2¹² = 1000313327281 is a prime.

It is a super-2 number, since 2×1000313331377² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1000313330377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500156665688 + 500156665689.

It is an arithmetic number, because the mean of its divisors is an integer number (500156665689).

Almost surely, 2^{1000313331377} is an apocalyptic number.

It is an amenable number.

1000313331377 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000313331377 is an equidigital number, since it uses as much as digits as its factorization.

1000313331377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11907, while the sum is 32.

Adding to 1000313331377 its reverse (7731333130001), we get a palindrome (8731646461378).

The spelling of 1000313331377 in words is "one trillion, three hundred thirteen million, three hundred thirty-one thousand, three hundred seventy-seven".