1314114131 has 16 divisors (see below), whose sum is σ = 1510748928. Its totient is φ = 1131372000.

The previous prime is 1314114101. The next prime is 1314114133.

1314114131 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-1314114131 is a prime.

It is a super-2 number, since 2×1314114131² = 3453791898587770322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1314114133) 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, 161 + ... + 51266.

It is an arithmetic number, because the mean of its divisors is an integer number (94421808).

Almost surely, 2^1314114131 is an apocalyptic number.

1314114131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1314114131 is a deficient number, since it is larger than the sum of its proper divisors (196634797).

1314114131 is a wasteful number, since it uses less digits than its factorization.

1314114131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51562.

The product of its digits is 144, while the sum is 20.

The square root of 1314114131 is about 36250.7121447290. The cubic root of 1314114131 is about 1095.3284339680.

It can be divided in two parts, 13141 and 14131, that added together give a palindrome (27272).

The spelling of 1314114131 in words is "one billion, three hundred fourteen million, one hundred fourteen thousand, one hundred thirty-one".