13750142121 has 63 divisors (see below), whose sum is σ = 21317411847. Its totient is φ = 8864931600.

The previous prime is 13750142093. The next prime is 13750142123. The reversal of 13750142121 is 12124105731.

The square root of 13750142121 is 117261.

It is a perfect power (a square), and thus also a powerful number.

13750142121 is a `hidden beast` number, since 1 + 37 + 501 + 4 + 2 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13210973721 + 539168400 = 114939^2 + 23220^2 .

It is not a de Polignac number, because 13750142121 - 2¹⁵ = 13750109353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13750142123) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 136139971 + ... + 136140071.

Almost surely, 2^13750142121 is an apocalyptic number.

13750142121 is the 117261-st square number.

13750142121 is the 58631-st centered octagonal number.

It is an amenable number.

13750142121 is a deficient number, since it is larger than the sum of its proper divisors (7567269726).

13750142121 is an frugal number, since it uses more digits than its factorization.

13750142121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 13750142121 its reverse (12124105731), we get a palindrome (25874247852).

The spelling of 13750142121 in words is "thirteen billion, seven hundred fifty million, one hundred forty-two thousand, one hundred twenty-one".