100034133430431 has 16 divisors (see below), whose sum is σ = 134150465391840. Its totient is φ = 66303615584640.

The previous prime is 100034133430409. The next prime is 100034133430453. The reversal of 100034133430431 is 134034331430001.

It is an interprime number because it is at equal distance from previous prime (100034133430409) and next prime (100034133430453).

It is not a de Polignac number, because 100034133430431 - 2⁶ = 100034133430367 is a prime.

It is a super-2 number, since 2×100034133430431² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100034133437431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163397965 + ... + 164009033.

It is an arithmetic number, because the mean of its divisors is an integer number (8384404086990).

Almost surely, 2^{100034133430431} is an apocalyptic number.

100034133430431 is a deficient number, since it is larger than the sum of its proper divisors (34116331961409).

100034133430431 is a wasteful number, since it uses less digits than its factorization.

100034133430431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926666.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 100034133430431 its reverse (134034331430001), we get a palindrome (234068464860432).

The spelling of 100034133430431 in words is "one hundred trillion, thirty-four billion, one hundred thirty-three million, four hundred thirty thousand, four hundred thirty-one".