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10132323121013 = 12713116727113457
BaseRepresentation
bin1001001101110001110110…
…0001010011011101110101
31022212122022000112021101012
42103130131201103131311
52312001444204333023
633314420332442005
72064015261331232
oct223343541233565
938778260467335
1010132323121013
113257104286375
121177866619305
1358662140c072
1427059ad64789
15128871be3978
hex9371d853775

10132323121013 has 32 divisors (see below), whose sum is σ = 10390647472128. Its totient is φ = 9878743929600.

The previous prime is 10132323120973. The next prime is 10132323121133. The reversal of 10132323121013 is 31012132323101.

It is a cyclic number.

It is not a de Polignac number, because 10132323121013 - 218 = 10132322858869 is a prime.

It is a super-2 number, since 2×101323231210132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10132323121013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132323121213) 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, 752933981 + ... + 752947437.

It is an arithmetic number, because the mean of its divisors is an integer number (324707733504).

Almost surely, 210132323121013 is an apocalyptic number.

It is an amenable number.

10132323121013 is a deficient number, since it is larger than the sum of its proper divisors (258324351115).

10132323121013 is a wasteful number, since it uses less digits than its factorization.

10132323121013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14153.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 10132323121013 its reverse (31012132323101), we get a palindrome (41144455444114).

The spelling of 10132323121013 in words is "ten trillion, one hundred thirty-two billion, three hundred twenty-three million, one hundred twenty-one thousand, thirteen".

Divisors: 1 127 131 167 271 13457 16637 21209 21877 34417 35501 45257 1709039 1762867 2247319 2778379 3646847 4508627 5747639 5928667 223884109 285409513 294398789 463149569 477736957 609023449 752940709 37388646203 60672593539 77345978023 79782071819 10132323121013