431201121102135 has 48 divisors (see below), whose sum is σ = 748010888352000. Its totient is φ = 229790680035840.

The previous prime is 431201121102119. The next prime is 431201121102217. The reversal of 431201121102135 is 531201121102134.

431201121102135 is a `hidden beast` number, since 4 + 31 + 201 + 1 + 211 + 0 + 213 + 5 = 666.

It is not a de Polignac number, because 431201121102135 - 2⁴ = 431201121102119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 431201121102099 and 431201121102108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1649408602 + ... + 1649670008.

It is an arithmetic number, because the mean of its divisors is an integer number (15583560174000).

Almost surely, 2^{431201121102135} is an apocalyptic number.

431201121102135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

431201121102135 is a deficient number, since it is larger than the sum of its proper divisors (316809767249865).

431201121102135 is a wasteful number, since it uses less digits than its factorization.

431201121102135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290488 (or 290485 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 431201121102135 its reverse (531201121102134), we get a palindrome (962402242204269).

Subtracting 431201121102135 from its reverse (531201121102134), we obtain a palindrome (99999999999999).

The spelling of 431201121102135 in words is "four hundred thirty-one trillion, two hundred one billion, one hundred twenty-one million, one hundred two thousand, one hundred thirty-five".