3405120306131 has 8 divisors (see below), whose sum is σ = 3446182333440. Its totient is φ = 3364059147592.

The previous prime is 3405120306127. The next prime is 3405120306187. The reversal of 3405120306131 is 1316030215043.

3405120306131 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 3405120306131 - 2² = 3405120306127 is a prime.

It is a super-2 number, since 2×3405120306131² (a number of 26 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 = 3405120306094 and 3405120306103.

It is not an unprimeable number, because it can be changed into a prime (3405020306131) 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, 11377910 + ... + 11673348.

It is an arithmetic number, because the mean of its divisors is an integer number (430772791680).

Almost surely, 2^{3405120306131} is an apocalyptic number.

3405120306131 is a deficient number, since it is larger than the sum of its proper divisors (41062027309).

3405120306131 is a wasteful number, since it uses less digits than its factorization.

3405120306131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434385.

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 3405120306131 in words is "three trillion, four hundred five billion, one hundred twenty million, three hundred six thousand, one hundred thirty-one".