100406153131 has 8 divisors (see below), whose sum is σ = 102820087040. Its totient is φ = 97995805992.

The previous prime is 100406153119. The next prime is 100406153161. The reversal of 100406153131 is 131351604001.

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

It is a cyclic number.

It is not a de Polignac number, because 100406153131 - 2¹⁵ = 100406120363 is a prime.

It is a super-2 number, since 2×100406153131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100406153096 and 100406153105.

It is not an unprimeable number, because it can be changed into a prime (100406153101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 839991 + ... + 952048.

It is an arithmetic number, because the mean of its divisors is an integer number (12852510880).

Almost surely, 2^100406153131 is an apocalyptic number.

100406153131 is a deficient number, since it is larger than the sum of its proper divisors (2413933909).

100406153131 is a wasteful number, since it uses less digits than its factorization.

100406153131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793385.

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 100406153131 its reverse (131351604001), we get a palindrome (231757757132).

The spelling of 100406153131 in words is "one hundred billion, four hundred six million, one hundred fifty-three thousand, one hundred thirty-one".