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131013123032 = 2311171947281349
BaseRepresentation
bin111101000000011111…
…1011001101111011000
3110112011112022020011002
41322000333121233120
54121303324414112
6140104145524132
712315425112551
oct1720077315730
9415145266132
10131013123032
11506205464a0
1221484043648
13c47ba57c0c
1464abc71328
15361bc881c2
hex1e80fd9bd8

131013123032 has 256 divisors, whose sum is σ = 306996480000. Its totient is φ = 51635404800.

The previous prime is 131013123023. The next prime is 131013123047. The reversal of 131013123032 is 230321310131.

It is a junction number, because it is equal to n+sod(n) for n = 131013122995 and 131013123013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 375395594 + ... + 375395942.

It is an arithmetic number, because the mean of its divisors is an integer number (1199205000).

Almost surely, 2131013123032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131013123032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153498240000).

131013123032 is an abundant number, since it is smaller than the sum of its proper divisors (175983356968).

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

131013123032 is a wasteful number, since it uses less digits than its factorization.

131013123032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131013123032 its reverse (230321310131), we get a palindrome (361334433163).

The spelling of 131013123032 in words is "one hundred thirty-one billion, thirteen million, one hundred twenty-three thousand, thirty-two".