134300101003431 has 96 divisors (see below), whose sum is σ = 199368992148480. Its totient is φ = 80347280640000.

The previous prime is 134300101003429. The next prime is 134300101003447.

134300101003431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134300101003431 - 2¹ = 134300101003429 is a prime.

It is a super-2 number, since 2×134300101003431² (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 (134300101003031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36584062726 + ... + 36584066396.

It is an arithmetic number, because the mean of its divisors is an integer number (2076760334880).

Almost surely, 2^{134300101003431} is an apocalyptic number.

134300101003431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134300101003431 is a deficient number, since it is larger than the sum of its proper divisors (65068891145049).

134300101003431 is a wasteful number, since it uses less digits than its factorization.

134300101003431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6509 (or 6498 counting only the distinct ones).

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

It can be divided in two parts, 13430010 and 1003431, that added together give a palindrome (14433441).

The spelling of 134300101003431 in words is "one hundred thirty-four trillion, three hundred billion, one hundred one million, three thousand, four hundred thirty-one".