31334344343313 has 16 divisors (see below), whose sum is σ = 45597157072896. Its totient is φ = 18982207999440.

The previous prime is 31334344343231. The next prime is 31334344343359.

31334344343313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31334344343313 - 2²² = 31334340149009 is a prime.

It is a super-2 number, since 2×31334344343313² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31334344343383) 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, 207516481 + ... + 207667422.

It is an arithmetic number, because the mean of its divisors is an integer number (2849822317056).

Almost surely, 2^{31334344343313} is an apocalyptic number.

31334344343313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31334344343313 is a deficient number, since it is larger than the sum of its proper divisors (14262812729583).

31334344343313 is a wasteful number, since it uses less digits than its factorization.

31334344343313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415186204.

The product of its digits is 1679616, while the sum is 42.

It can be divided in two parts, 3133434 and 4343313, that added together give a palindrome (7476747).

The spelling of 31334344343313 in words is "thirty-one trillion, three hundred thirty-four billion, three hundred forty-four million, three hundred forty-three thousand, three hundred thirteen".