101132131314 has 32 divisors (see below), whose sum is σ = 203657158656. Its totient is φ = 33478678800.

The previous prime is 101132131277. The next prime is 101132131343. The reversal of 101132131314 is 413131231101.

It is a super-2 number, since 2×101132131314² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4070959 + ... + 4095725.

It is an arithmetic number, because the mean of its divisors is an integer number (6364286208).

Almost surely, 2^101132131314 is an apocalyptic number.

101132131314 is an abundant number, since it is smaller than the sum of its proper divisors (102525027342).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101132131314 is a wasteful number, since it uses less digits than its factorization.

101132131314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29430.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101132131314 its reverse (413131231101), we get a palindrome (514263362415).

The spelling of 101132131314 in words is "one hundred one billion, one hundred thirty-two million, one hundred thirty-one thousand, three hundred fourteen".