1310434961 has 6 divisors (see below), whose sum is σ = 1440395586. Its totient is φ = 1191304400.

The previous prime is 1310434901. The next prime is 1310434963. The reversal of 1310434961 is 1694340131.

It can be written as a sum of positive squares in only one way, i.e., 1266292225 + 44142736 = 35585^2 + 6644^2 .

It is not a de Polignac number, because 1310434961 - 2²² = 1306240657 is a prime.

It is a super-2 number, since 2×1310434961² = 3434479574022143042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1310434963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5414900 + ... + 5415141.

It is an arithmetic number, because the mean of its divisors is an integer number (240065931).

Almost surely, 2^1310434961 is an apocalyptic number.

1310434961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1310434961 is a deficient number, since it is larger than the sum of its proper divisors (129960625).

1310434961 is a wasteful number, since it uses less digits than its factorization.

1310434961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10830063 (or 10830052 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 1310434961 is about 36199.9304004856. The cubic root of 1310434961 is about 1094.3052690941.

The spelling of 1310434961 in words is "one billion, three hundred ten million, four hundred thirty-four thousand, nine hundred sixty-one".