10205740131431 has 8 divisors (see below), whose sum is σ = 11287845634464. Its totient is φ = 9166070138400.

The previous prime is 10205740131421. The next prime is 10205740131539. The reversal of 10205740131431 is 13413104750201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10205740131431 - 2²² = 10205735937127 is a prime.

It is a super-2 number, since 2×10205740131431² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205740131421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10608876995 + ... + 10608877956.

It is an arithmetic number, because the mean of its divisors is an integer number (1410980704308).

Almost surely, 2^{10205740131431} is an apocalyptic number.

10205740131431 is a deficient number, since it is larger than the sum of its proper divisors (1082105503033).

10205740131431 is a wasteful number, since it uses less digits than its factorization.

10205740131431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21217755001.

The product of its (nonzero) digits is 10080, while the sum is 32.

Adding to 10205740131431 its reverse (13413104750201), we get a palindrome (23618844881632).

The spelling of 10205740131431 in words is "ten trillion, two hundred five billion, seven hundred forty million, one hundred thirty-one thousand, four hundred thirty-one".