101038541631 has 8 divisors (see below), whose sum is σ = 135306344880. Its totient is φ = 67064883072.

The previous prime is 101038541629. The next prime is 101038541651. The reversal of 101038541631 is 136145830101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101038541631 - 2¹ = 101038541629 is a prime.

It is a super-2 number, since 2×101038541631² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101038541592 and 101038541601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101038541651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73535370 + ... + 73536743.

It is an arithmetic number, because the mean of its divisors is an integer number (16913293110).

Almost surely, 2^101038541631 is an apocalyptic number.

101038541631 is a deficient number, since it is larger than the sum of its proper divisors (34267803249).

101038541631 is a wasteful number, since it uses less digits than its factorization.

101038541631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147072345.

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 101038541631 in words is "one hundred one billion, thirty-eight million, five hundred forty-one thousand, six hundred thirty-one".