101114313040 has 80 divisors (see below), whose sum is σ = 264182341248. Its totient is φ = 35711267328.

The previous prime is 101114313007. The next prime is 101114313089. The reversal of 101114313040 is 40313411101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×101114313040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101114312999 and 101114313017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2089674 + ... + 2137513.

Almost surely, 2^101114313040 is an apocalyptic number.

101114313040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101114313040 is an abundant number, since it is smaller than the sum of its proper divisors (163068028208).

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

101114313040 is a wasteful number, since it uses less digits than its factorization.

101114313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227236 (or 4227230 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101114313040 its reverse (40313411101), we get a palindrome (141427724141).

The spelling of 101114313040 in words is "one hundred one billion, one hundred fourteen million, three hundred thirteen thousand, forty".