1010012322131 has 8 divisors (see below), whose sum is σ = 1015912451280. Its totient is φ = 1004119068672.

The previous prime is 1010012322097. The next prime is 1010012322133. The reversal of 1010012322131 is 1312232100101.

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 1010012322131 - 2²² = 1010008127827 is a prime.

It is a super-3 number, since 3×1010012322131³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010012322133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1424126 + ... + 2012003.

It is an arithmetic number, because the mean of its divisors is an integer number (126989056410).

Almost surely, 2^{1010012322131} is an apocalyptic number.

1010012322131 is a deficient number, since it is larger than the sum of its proper divisors (5900129149).

1010012322131 is a wasteful number, since it uses less digits than its factorization.

1010012322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437845.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1010012322131 its reverse (1312232100101), we get a palindrome (2322244422232).

The spelling of 1010012322131 in words is "one trillion, ten billion, twelve million, three hundred twenty-two thousand, one hundred thirty-one".