101314431 has 12 divisors (see below), whose sum is σ = 146666520. Its totient is φ = 67393680.

The previous prime is 101314427. The next prime is 101314453. The reversal of 101314431 is 134413101.

It is not a de Polignac number, because 101314431 - 2² = 101314427 is a prime.

It is a super-2 number, since 2×101314431² = 20529227857707522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101314481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8061 + ... + 16358.

It is an arithmetic number, because the mean of its divisors is an integer number (12222210).

Almost surely, 2^101314431 is an apocalyptic number.

101314431 is a deficient number, since it is larger than the sum of its proper divisors (45352089).

101314431 is a wasteful number, since it uses less digits than its factorization.

101314431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24886 (or 24883 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101314431 is about 10065.5069917019. The cubic root of 101314431 is about 466.1837201627.

Adding to 101314431 its reverse (134413101), we get a palindrome (235727532).

The spelling of 101314431 in words is "one hundred one million, three hundred fourteen thousand, four hundred thirty-one".