71431621101 has 24 divisors (see below), whose sum is σ = 105728031864. Its totient is φ = 46445322240.

The previous prime is 71431621087. The next prime is 71431621117. The reversal of 71431621101 is 10112613417.

71431621101 is a `hidden beast` number, since 7 + 1 + 4 + 31 + 621 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5087255625 + 66344365476 = 71325^2 + 257574^2 .

It is not a de Polignac number, because 71431621101 - 2⁵ = 71431621069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71431621301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1247635 + ... + 1303631.

It is an arithmetic number, because the mean of its divisors is an integer number (4405334661).

Almost surely, 2^71431621101 is an apocalyptic number.

It is an amenable number.

71431621101 is a deficient number, since it is larger than the sum of its proper divisors (34296410763).

71431621101 is a wasteful number, since it uses less digits than its factorization.

71431621101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59501 (or 59498 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 71431621101 in words is "seventy-one billion, four hundred thirty-one million, six hundred twenty-one thousand, one hundred one".