10142404131321 has 48 divisors (see below), whose sum is σ = 18366021168768. Its totient is φ = 5239672012800.

The previous prime is 10142404131287. The next prime is 10142404131373. The reversal of 10142404131321 is 12313140424101.

It is a happy number.

10142404131321 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 240 + 413 + 1 + 3 + 2 + 1 = 666.

It is not a de Polignac number, because 10142404131321 - 2¹⁰ = 10142404130297 is a prime.

It is a super-2 number, since 2×10142404131321² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10142404131721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40304136 + ... + 40555001.

It is an arithmetic number, because the mean of its divisors is an integer number (382625441016).

Almost surely, 2^{10142404131321} is an apocalyptic number.

10142404131321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10142404131321 is a deficient number, since it is larger than the sum of its proper divisors (8223617037447).

10142404131321 is a wasteful number, since it uses less digits than its factorization.

10142404131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80859342 (or 80859339 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10142404131321 its reverse (12313140424101), we get a palindrome (22455544555422).

The spelling of 10142404131321 in words is "ten trillion, one hundred forty-two billion, four hundred four million, one hundred thirty-one thousand, three hundred twenty-one".