93105401311131 has 8 divisors (see below), whose sum is σ = 135426038270784. Its totient is φ = 56427515946120.

The previous prime is 93105401311093. The next prime is 93105401311147. The reversal of 93105401311131 is 13111310450139.

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

It is not a de Polignac number, because 93105401311131 - 2¹³ = 93105401302939 is a prime.

It is a super-2 number, since 2×93105401311131² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 2821375797307 = 93105401311131 / (9 + 3 + 1 + 0 + 5 + 4 + 0 + 1 + 3 + 1 + 1 + 1 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 93105401311092 and 93105401311101.

It is not an unprimeable number, because it can be changed into a prime (93105401311171) 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, 1410687898621 + ... + 1410687898686.

It is an arithmetic number, because the mean of its divisors is an integer number (16928254783848).

Almost surely, 2^{93105401311131} is an apocalyptic number.

93105401311131 is a deficient number, since it is larger than the sum of its proper divisors (42320636959653).

93105401311131 is a wasteful number, since it uses less digits than its factorization.

93105401311131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821375797321.

The product of its (nonzero) digits is 4860, while the sum is 33.

The spelling of 93105401311131 in words is "ninety-three trillion, one hundred five billion, four hundred one million, three hundred eleven thousand, one hundred thirty-one".