10131686741 has 24 divisors (see below), whose sum is σ = 11957694336. Its totient is φ = 8484033920.

The previous prime is 10131686731. The next prime is 10131686767. The reversal of 10131686741 is 14768613101.

It is not a de Polignac number, because 10131686741 - 2²⁶ = 10064577877 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10131686695 and 10131686704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131686701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400820 + ... + 425346.

It is an arithmetic number, because the mean of its divisors is an integer number (498237264).

Almost surely, 2^10131686741 is an apocalyptic number.

10131686741 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10131686741 is a deficient number, since it is larger than the sum of its proper divisors (1826007595).

10131686741 is a wasteful number, since it uses less digits than its factorization.

10131686741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24649 (or 24602 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The spelling of 10131686741 in words is "ten billion, one hundred thirty-one million, six hundred eighty-six thousand, seven hundred forty-one".