100131121001131 has 32 divisors (see below), whose sum is σ = 115763088909312. Its totient is φ = 85596970575360.

The previous prime is 100131121001117. The next prime is 100131121001143. The reversal of 100131121001131 is 131100121131001.

It is a cyclic number.

It is not a de Polignac number, because 100131121001131 - 2¹¹ = 100131120999083 is a prime.

It is a super-2 number, since 2×100131121001131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100131121001101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 986686365 + ... + 986787841.

It is an arithmetic number, because the mean of its divisors is an integer number (3617596528416).

Almost surely, 2^{100131121001131} is an apocalyptic number.

100131121001131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100131121001131 is a deficient number, since it is larger than the sum of its proper divisors (15631967908181).

100131121001131 is a wasteful number, since it uses less digits than its factorization.

100131121001131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106179.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 100131121001131 its reverse (131100121131001), we get a palindrome (231231242132132).

The spelling of 100131121001131 in words is "one hundred trillion, one hundred thirty-one billion, one hundred twenty-one million, one thousand, one hundred thirty-one".