3431430013011 has 576 divisors, whose sum is σ = 6829413212160. Its totient is φ = 1504526607360.

The previous prime is 3431430013007. The next prime is 3431430013069. The reversal of 3431430013011 is 1103100341343.

It is not a de Polignac number, because 3431430013011 - 2² = 3431430013007 is a prime.

It is a super-2 number, since 2×3431430013011² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3431430013111) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 58159830700 + ... + 58159830758.

It is an arithmetic number, because the mean of its divisors is an integer number (11856620160).

Almost surely, 2^{3431430013011} is an apocalyptic number.

3431430013011 is a deficient number, since it is larger than the sum of its proper divisors (3397983199149).

3431430013011 is a wasteful number, since it uses less digits than its factorization.

3431430013011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3431430013011 its reverse (1103100341343), we get a palindrome (4534530354354).

The spelling of 3431430013011 in words is "three trillion, four hundred thirty-one billion, four hundred thirty million, thirteen thousand, eleven".