1102142304131 has 16 divisors (see below), whose sum is σ = 1316961491040. Its totient is φ = 910491886080.

The previous prime is 1102142304083. The next prime is 1102142304139. The reversal of 1102142304131 is 1314032412011.

It is a de Polignac number, because none of the positive numbers 2^k-1102142304131 is a prime.

It is a super-4 number, since 4×1102142304131⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1102142304097 and 1102142304106.

It is not an unprimeable number, because it can be changed into a prime (1102142304139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101611976 + ... + 101622821.

It is an arithmetic number, because the mean of its divisors is an integer number (82310093190).

Almost surely, 2^{1102142304131} is an apocalyptic number.

1102142304131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1102142304131 is a deficient number, since it is larger than the sum of its proper divisors (214819186909).

1102142304131 is a wasteful number, since it uses less digits than its factorization.

1102142304131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203234854.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 1102142304131 its reverse (1314032412011), we get a palindrome (2416174716142).

The spelling of 1102142304131 in words is "one trillion, one hundred two billion, one hundred forty-two million, three hundred four thousand, one hundred thirty-one".