51121301131101 has 32 divisors (see below), whose sum is σ = 72327054988800. Its totient is φ = 32006887715840.

The previous prime is 51121301131093. The next prime is 51121301131193. The reversal of 51121301131101 is 10113110312115.

It is a cyclic number.

It is not a de Polignac number, because 51121301131101 - 2³ = 51121301131093 is a prime.

It is a super-2 number, since 2×51121301131101² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51121301131801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135603295 + ... + 135979763.

It is an arithmetic number, because the mean of its divisors is an integer number (2260220468400).

Almost surely, 2^{51121301131101} is an apocalyptic number.

51121301131101 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

51121301131101 is a deficient number, since it is larger than the sum of its proper divisors (21205753857699).

51121301131101 is a wasteful number, since it uses less digits than its factorization.

51121301131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382229.

The product of its (nonzero) digits is 90, while the sum is 21.

Adding to 51121301131101 its reverse (10113110312115), we get a palindrome (61234411443216).

The spelling of 51121301131101 in words is "fifty-one trillion, one hundred twenty-one billion, three hundred one million, one hundred thirty-one thousand, one hundred one".