131101026408 has 384 divisors, whose sum is σ = 412918871040. Its totient is φ = 37200384000.

The previous prime is 131101026401. The next prime is 131101026409. The reversal of 131101026408 is 804620101131.

It is a happy number.

131101026408 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 10 + 2 + 640 + 8 = 666.

It is a super-2 number, since 2×131101026408² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131101026401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251633188 + ... + 251633708.

It is an arithmetic number, because the mean of its divisors is an integer number (1075309560).

Almost surely, 2^131101026408 is an apocalyptic number.

131101026408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131101026408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206459435520).

131101026408 is an abundant number, since it is smaller than the sum of its proper divisors (281817844632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131101026408 is a wasteful number, since it uses less digits than its factorization.

131101026408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 131101026408 its reverse (804620101131), we get a palindrome (935721127539).

The spelling of 131101026408 in words is "one hundred thirty-one billion, one hundred one million, twenty-six thousand, four hundred eight".