10211382131 has 8 divisors (see below), whose sum is σ = 10359887520. Its totient is φ = 10063109952.

The previous prime is 10211382121. The next prime is 10211382133. The reversal of 10211382131 is 13128311201.

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 10211382131 - 2¹⁰ = 10211381107 is a prime.

It is a super-2 number, since 2×10211382131² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211382097 and 10211382106.

It is not an unprimeable number, because it can be changed into a prime (10211382133) 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, 30890 + ... + 146208.

It is an arithmetic number, because the mean of its divisors is an integer number (1294985940).

Almost surely, 2^10211382131 is an apocalyptic number.

10211382131 is a deficient number, since it is larger than the sum of its proper divisors (148505389).

10211382131 is a wasteful number, since it uses less digits than its factorization.

10211382131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116605.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 10211382131 its reverse (13128311201), we get a palindrome (23339693332).

The spelling of 10211382131 in words is "ten billion, two hundred eleven million, three hundred eighty-two thousand, one hundred thirty-one".