1010223131301 has 12 divisors (see below), whose sum is σ = 1498649330412. Its totient is φ = 655279868736.

The previous prime is 1010223131243. The next prime is 1010223131303. The reversal of 1010223131301 is 1031313220101.

1010223131301 is a `hidden beast` number, since 1 + 0 + 10 + 223 + 131 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 666884556900 + 343338574401 = 816630^2 + 585951^2 .

It is not a de Polignac number, because 1010223131301 - 2⁹ = 1010223130789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010223131303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1516851216 + ... + 1516851881.

It is an arithmetic number, because the mean of its divisors is an integer number (124887444201).

Almost surely, 2^{1010223131301} is an apocalyptic number.

It is an amenable number.

1010223131301 is a deficient number, since it is larger than the sum of its proper divisors (488426199111).

1010223131301 is a wasteful number, since it uses less digits than its factorization.

1010223131301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033703140 (or 3033703137 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1010223131301 its reverse (1031313220101), we get a palindrome (2041536351402).

It can be divided in two parts, 101022 and 3131301, that added together give a palindrome (3232323).

The spelling of 1010223131301 in words is "one trillion, ten billion, two hundred twenty-three million, one hundred thirty-one thousand, three hundred one".