10821575785131 has 40 divisors (see below), whose sum is σ = 16184197632240. Its totient is φ = 7206072360192.

The previous prime is 10821575785081. The next prime is 10821575785171. The reversal of 10821575785131 is 13158757512801.

10821575785131 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 1 + 57 + 5 + 78 + 513 + 1 = 666.

It is not a de Polignac number, because 10821575785131 - 2⁹ = 10821575784619 is a prime.

It is a super-2 number, since 2×10821575785131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10821575785171) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 293974255 + ... + 294011063.

It is an arithmetic number, because the mean of its divisors is an integer number (404604940806).

Almost surely, 2^{10821575785131} is an apocalyptic number.

10821575785131 is a deficient number, since it is larger than the sum of its proper divisors (5362621847109).

10821575785131 is a wasteful number, since it uses less digits than its factorization.

10821575785131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40905 (or 40896 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 54.

The spelling of 10821575785131 in words is "ten trillion, eight hundred twenty-one billion, five hundred seventy-five million, seven hundred eighty-five thousand, one hundred thirty-one".