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13023131000031 = 3231220721149927
BaseRepresentation
bin1011110110000010111100…
…0110001101110011011111
31201002222222101120002010100
42331200233012031303133
53201332333014000111
643410424354112143
72512614220015305
oct275405706156337
951088871502110
1013023131000031
114171095a34449
121563b7827b653
137360cac23299
14330474094275
15178b65221756
hexbd82f18dcdf

13023131000031 has 24 divisors (see below), whose sum is σ = 19426801065984. Its totient is φ = 8398212616080.

The previous prime is 13023130999939. The next prime is 13023131000119. The reversal of 13023131000031 is 13000013132031.

It is a happy number.

It is not a de Polignac number, because 13023131000031 - 27 = 13023130999903 is a prime.

It is a super-2 number, since 2×130231310000312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13023130999968 and 13023131000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023131007031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9959211 + ... + 11190716.

It is an arithmetic number, because the mean of its divisors is an integer number (809450044416).

Almost surely, 213023131000031 is an apocalyptic number.

13023131000031 is a deficient number, since it is larger than the sum of its proper divisors (6403670065953).

13023131000031 is a wasteful number, since it uses less digits than its factorization.

13023131000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21152171 (or 21152168 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13023131000031 its reverse (13000013132031), we get a palindrome (26023144132062).

The spelling of 13023131000031 in words is "thirteen trillion, twenty-three billion, one hundred thirty-one million, thirty-one", and thus it is an aban number.

Divisors: 1 3 9 31 93 279 2207 6621 19863 68417 205251 615753 21149927 63449781 190349343 655647737 1966943211 5900829633 46677888889 140033666667 420101000001 1447014555559 4341043666677 13023131000031