31414120101 has 48 divisors (see below), whose sum is σ = 57356767104. Its totient is φ = 16122229632.

The previous prime is 31414120097. The next prime is 31414120147. The reversal of 31414120101 is 10102141413.

31414120101 is a `hidden beast` number, since 31 + 414 + 120 + 101 = 666.

It is not a de Polignac number, because 31414120101 - 2² = 31414120097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31414120601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 488031 + ... + 548636.

It is an arithmetic number, because the mean of its divisors is an integer number (1194932648).

Almost surely, 2^31414120101 is an apocalyptic number.

It is an amenable number.

31414120101 is a deficient number, since it is larger than the sum of its proper divisors (25942647003).

31414120101 is a wasteful number, since it uses less digits than its factorization.

31414120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036730 (or 1036727 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 31414120101 its reverse (10102141413), we get a palindrome (41516261514).

The spelling of 31414120101 in words is "thirty-one billion, four hundred fourteen million, one hundred twenty thousand, one hundred one".