101434133004 has 48 divisors (see below), whose sum is σ = 245373528960. Its totient is φ = 32589266560.

The previous prime is 101434132999. The next prime is 101434133011. The reversal of 101434133004 is 400331434101.

101434133004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×101434133004⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1201134 + ... + 1282805.

It is an arithmetic number, because the mean of its divisors is an integer number (5111948520).

Almost surely, 2^101434133004 is an apocalyptic number.

It is an amenable number.

101434133004 is an abundant number, since it is smaller than the sum of its proper divisors (143939395956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101434133004 is a wasteful number, since it uses less digits than its factorization.

101434133004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484070 (or 2484068 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101434133004 its reverse (400331434101), we get a palindrome (501765567105).

The spelling of 101434133004 in words is "one hundred one billion, four hundred thirty-four million, one hundred thirty-three thousand, four".