101311043434011 has 24 divisors (see below), whose sum is σ = 148075333735680. Its totient is φ = 66741737814576.

The previous prime is 101311043433997. The next prime is 101311043434049. The reversal of 101311043434011 is 110434340113101.

101311043434011 is a `hidden beast` number, since 1 + 0 + 1 + 311 + 0 + 4 + 3 + 4 + 340 + 1 + 1 = 666.

It is not a de Polignac number, because 101311043434011 - 2¹⁴ = 101311043417627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101311043434511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116579031 + ... + 117444848.

It is an arithmetic number, because the mean of its divisors is an integer number (6169805572320).

Almost surely, 2^{101311043434011} is an apocalyptic number.

101311043434011 is a deficient number, since it is larger than the sum of its proper divisors (46764290301669).

101311043434011 is a wasteful number, since it uses less digits than its factorization.

101311043434011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234024455 (or 234024452 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 101311043434011 its reverse (110434340113101), we get a palindrome (211745383547112).

The spelling of 101311043434011 in words is "one hundred one trillion, three hundred eleven billion, forty-three million, four hundred thirty-four thousand, eleven".