101434414311 has 48 divisors (see below), whose sum is σ = 153848248320. Its totient is φ = 64315944000.

The previous prime is 101434414307. The next prime is 101434414337. The reversal of 101434414311 is 113414434101.

101434414311 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 344 + 1 + 4 + 311 = 666.

It is not a de Polignac number, because 101434414311 - 2² = 101434414307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101434454311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39329620 + ... + 39332198.

It is an arithmetic number, because the mean of its divisors is an integer number (3205171840).

Almost surely, 2^101434414311 is an apocalyptic number.

101434414311 is a deficient number, since it is larger than the sum of its proper divisors (52413834009).

101434414311 is a wasteful number, since it uses less digits than its factorization.

101434414311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 101434414311 its reverse (113414434101), we get a palindrome (214848848412).

The spelling of 101434414311 in words is "one hundred one billion, four hundred thirty-four million, four hundred fourteen thousand, three hundred eleven".