101103202001131 has 32 divisors (see below), whose sum is σ = 112714422013440. Its totient is φ = 89905897536000.

The previous prime is 101103202001093. The next prime is 101103202001147. The reversal of 101103202001131 is 131100202301101.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101103202001131 is a prime.

It is a super-2 number, since 2×101103202001131² (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 (101103202091131) 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, 946596931 + ... + 946703731.

It is an arithmetic number, because the mean of its divisors is an integer number (3522325687920).

Almost surely, 2^{101103202001131} is an apocalyptic number.

101103202001131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101103202001131 is a deficient number, since it is larger than the sum of its proper divisors (11611220012309).

101103202001131 is a wasteful number, since it uses less digits than its factorization.

101103202001131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111747.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101103202001131 its reverse (131100202301101), we get a palindrome (232203404302232).

The spelling of 101103202001131 in words is "one hundred one trillion, one hundred three billion, two hundred two million, one thousand, one hundred thirty-one".