10131420341988 has 288 divisors, whose sum is σ = 29048451264000. Its totient is φ = 3051373248000.

The previous prime is 10131420341953. The next prime is 10131420342049. The reversal of 10131420341988 is 88914302413101.

10131420341988 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 420 + 34 + 198 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1777127538 + ... + 1777133238.

It is an arithmetic number, because the mean of its divisors is an integer number (100862678000).

Almost surely, 2^{10131420341988} is an apocalyptic number.

10131420341988 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 10131420341988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14524225632000).

10131420341988 is an abundant number, since it is smaller than the sum of its proper divisors (18917030922012).

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

10131420341988 is a wasteful number, since it uses less digits than its factorization.

10131420341988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6544 (or 6525 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 10131420341988 in words is "ten trillion, one hundred thirty-one billion, four hundred twenty million, three hundred forty-one thousand, nine hundred eighty-eight".